Module: The backpack problem


Problem

2 /6


0-1 backpack: minimum items

Problem

Given N items of mass m1, …, mN. They fill a backpack that can withstand a weight of no more than M. How to gain weight in exactly M using as few items as possible?
 
Input:
- the first line contains a natural number N not exceeding 100 and a natural number M not exceeding 10000;
- the second line contains N natural numbers mi not exceeding 100.
 
Output: Print the smallest number of items you need, or 0 if you can't gain the given weight.
 

 

Examples
# Input Output
1
1 5968
18
0