Since due to COVID 19, India has undergone a complete 21 day lockdown. So Amol was attending an online lecture where his professor asked him to solve a question. Amol was unable to solve the question so he asked you to solve the question and give him the correct answer. 

The question was asked a such that his professor gave him a number M and a list of integers of length N (i.e. A1, A2,..... AN) and you have to find out all the subsets that add up to M and the total number of subsets will be the final answer. 

Input: 
• The first line of the input contains a single integer T denoting the number of test cases. The description of T test cases follows. 

• The first line of each test case contains a single integer N. 

• The second line of each test case contains a single integer M. 

• The third line contains N space-separated integers A1, A2,..... AN. 

Output: 
For each test case, print a single line containing one integer ― the no. of subsets that adds upto M.

Constraints: 
• 1≤T≤5

• 1≤N≤100 

• 10≤M≤100 

• 1≤Ai≤100

ExampleInput:

2

4

16

2 4 6 10 

4 

20 

2 8 12 10 

Output:

2

2

Explanation:
In the 1st example there are two subsets {2,4,10} and {6,10} that adds upto 16 so the output is 2.

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

ns = {"__name__": "__main__"}
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = '# cook your dish here\ndef subset_sum(numbers, target, partial=[]):\n    count=0\n    s = sum(partial)\n\n    # check if the partial sum is equals to target\n    if s == target: \n        count+=1\n        return 1\n    if s >= target:\n        return 0# if we reach the number why bother to continue\n\n    for i in range(len(numbers)):\n        n = numbers[i]\n        remaining = numbers[i+1:]\n        count+=subset_sum(remaining, target, partial + [n]) \n    return count\n\nt=int(input())\nfor i in range(t):\n    input()\n    n=int(input())\n    s=list(map(int,input().split()))\n    print(subset_sum(s,n))\n\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13217