Helios Messages 267 Reaction score 63 Thread starter Nov 27, 2009 #1 Using the numbers 1 - 17, place the numbers in the circles so that the sum of the numbers on every line equals 34. There are 11 lines. I have one solution. I think this is a very challenging puzzle that few can solve. Attachments puzzle.gif 2 KB · Views: 598
Using the numbers 1 - 17, place the numbers in the circles so that the sum of the numbers on every line equals 34. There are 11 lines. I have one solution. I think this is a very challenging puzzle that few can solve.
Rogerio Messages 404 Reaction score 1 Nov 28, 2009 #2 Hi Helios! From top to down, and left to right: Spoiler 13 4,7,17,6 9,1 5,3 11,8,15 16,14 10,2,12
Borek Mentor Messages 29,210 Reaction score 4,635 Nov 28, 2009 #3 As far as I can tell 10+2+12 in bottom line is not 34... Seems to me like there are just two solutions - symmetrical, so in a way there exist only one. Spoiler 14 - 16 4 8 6 - 3 1 - 13 11 - 5 17 12 - 7 2 - 10 9 15 (these are rows) Last edited: Nov 28, 2009
As far as I can tell 10+2+12 in bottom line is not 34... Seems to me like there are just two solutions - symmetrical, so in a way there exist only one. Spoiler 14 - 16 4 8 6 - 3 1 - 13 11 - 5 17 12 - 7 2 - 10 9 15 (these are rows)
Helios Messages 267 Reaction score 63 Nov 29, 2009 #4 Borek's solution is an exact match to mine. This solution looks unique. Thanks all for your efforts with this puzzle.
Borek's solution is an exact match to mine. This solution looks unique. Thanks all for your efforts with this puzzle.