N integers
Source: IMAR Test 2007
January 28, 2009
absolute valuenumber theory proposednumber theory
Problem Statement
Prove that N\geq 2n \minus{} 2 integers, of absolute value not higher than , and of absolute value of their sum less than n \minus{} 1, there exist some of sum Show that for |S| \equal{} n \minus{} 1 this is not anymore true, and neither for N \equal{} 2n \minus{} 3 (when even for |S| \equal{} 1 this is not anymore true).