@ 2012-07-11 12:51 PM (#7791 - in reply to #7524) (#7791) Top | |
Posts: 123 Country : India | macherlakumar posted @ 2012-07-11 12:51 PM Nice set of puzzles. I was able to solve only 4 during the competition, but could not submit the fourth because I ran out of time. Now I am taking my time to solve other puzzles. Renban was very good although I have started from the R1 and R3 Renban groups. As you said "What is very helpful for this puzzle is to notice what digits have to be in a renban group, and what digits cannot be in a group", I did the same thing and puzzle was solved very smoothly. Still more to solve. Thanks Richard and LMI for wonderful test. Regards, Ravi |
@ 2012-07-12 1:49 AM (#7795 - in reply to #7524) (#7795) Top | |
Posts: 1 Country : The Netherlands | gjdv posted @ 2012-07-12 1:49 AM Let me first thank the author for providing the sudokus. Let me explain, and hopefully one of you can prove me wrong :) The grey fields either contain all even or all odd numbers. There are 5 odd numbers (1,3,5,7,9) and 4 even numbers (2,4,6,8) possible. Look at the rightmost column, there are 3 empty grey fields and even numbers 2 and 6 already present. That means that the 3 grey fields in this column cannot be filled with all even numbers (as there are only two left: 4 and 8). Hence, all grey fields should be odd-numbered. Now look at the second row, there are only two non-grey empty fields, which are located in the top-middle 3x3 square. Number 4 is still missing in this row, hence it should be filled in somewhere in the middle 3, however there is already a 4 present in the top-middle 3x3 square. Hence, the grey fields cannot all be odd-numbered. A contradiction! edit: oops... I now see that the restriction on odd/even should be interpreted per 3x3 square... sorry Edited by gjdv 2012-07-12 2:01 AM |