tf01
Problem Description
An established group of scientists are working on finding solution to NP hard problems. They claim Subset Sum as an NP-hard problem. The problem is to determine whether there exists a subset of a given set S whose sum is a given number K.
You are a computer engineer and you claim to solve this problem given that all numbers in the set are non-negative. Given a set S of size N of non-negative integers, find whether there exists a subset whose sum is K.
Input First line of input contains T, the number of test cases. T test cases follow. Each test case contains 2 lines. First line contains two integers N and K. Next line contains N space separated non-negative integers (each less than 100000). 0 < T < 1000 0 < N < 1000 0 < K < 1000
Output Output T lines, one for each test case. Every line should be either 0 or 1 depending on whether such a subset exists or not.
Example
Input: 2 5 10 3 4 6 1 9 3 2 1 3 4
Output: 1 0
Contest Information
- Contest ID: 0
- Problem Index:
- Points: 0.0
- Rating: 0
- Tags: None
- Time Limit: None seconds
- Memory Limit: 0 bytes
Task
Solve this competitive programming problem. Provide a complete solution that handles all the given constraints and edge cases.