Chef and Diwali

During Diwali, it's a tradition that each father gives his kids money which they can spend on entertainment. Chef has $N$ coins; let's denote the value of coin $i$ by $Vi$. Since it is Diwali, Chef is going to give one coin to each of his two children. He wants the absolute value of the difference between the values of coins given to the two children to be as small as possible, so that he would b