CF632E Thief in a Shop

Description

A thief made his way to a shop. As usual he has his lucky knapsack with him. The knapsack can contain $ k $ objects. There are $ n $ kinds of products in the shop and an infinite number of products of each kind. The cost of one product of kind $ i $ is $ a_{i} $ . The thief is greedy, so he will take exactly $ k $ products (it's possible for some kinds to take several products of that kind). Find all the possible total costs of products the thief can nick into his knapsack.

Input Format

The first line contains two integers $ n $ and $ k $ ( $ 1

Output Format

Print the only line with all the possible total costs of stolen products, separated by a space. The numbers should be printed in the ascending order.