19 numbers are written on a circumference of a circle, in any order.
Their sum is 203 and the biggest number is X.
Any 3 adjacent numbers sum up to 31 or more.

What is the maximal possible value of X ?
If this number is selected, what can be said about the other 18?

(In reply to I clarify few points....A SPOILER by Ady TZIDON)

Another way to see no other number can be greater than 17 is that any point can be the one outside the 6 triplets. Thus every point must be at most 17.

Posted by Gamer on 2010-09-25 01:50:34