You are given an integer sequence $A_1, A_2, \ldots, A_N$ and an integer $X$. Consider a $N \times N$ matrix $B$, where $B_{i,j} = A_i + A_j$ for each valid $i$ and $j$.
You need to find the number of square submatrices of $B$ such that the sum of their elements is $X$. Formally, find the number of quartets $(x_1, y_1, x_2, y_2)$ such that $1 \le x_1 \le x_2 \le N$, $1 \le y_1 \le y_2 \le N$, $x_2-x_1 = y_2-y_1$ and $\sum_{i=x_1}^{x_2}\sum_{j=y_1}^{y_2} B_{i,j} = X$.

-----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 two space-separated integers $N$ and $X$.
- The second line contains $N$ space-separated integers $A_1, A_2, \ldots, A_N$.

-----Output-----
For each test case, print a single line containing one integer ― the number of square submatrices with sum $X$.

-----Constraints-----
- $1 \le T \le 100$
- $1 \le X \le 10^6$
- $1 \le N \le 10^5$
- $1 \le A_i \le 10^6$ for each valid $i$
- the sum of $N$ over all test cases does not exceed $10^6$

-----Subtasks-----
Subtask #1 (50 points): the sum of $N$ over all test cases does not exceed $1,000$
Subtask #2 (50 points): original constraints

-----Example Input-----
2
5 36
1 2 3 1 12
4 54
3 3 3 3

-----Example Output-----
6
4

Starter code:

Solutions:
# cook your dish here
import sys
input=sys.stdin.readline
for _ in range(int(input())):
 n,x=list(map(int,input().split()))
 l=[0]
 pre=[0]*(n+1)
 sum=0
 i=1
 for m in input().split():
  l.append(int(m))
  sum+=int(m)
  pre[i]=sum
  i+=1
 dict={}
 k=[]
 i=1
 while (i*i)<=x:
  if x%i==0:
   k.append(i)
   if (i*i)!=x:
    k.append(x//i)
   else:
    break
  i+=1 
 ans=0 
 for a in k:
  if a>n:
   continue
  z=x//a 
  for j in range(a,n+1):
   s=pre[j]-pre[j-a]
   if s>z:
    continue
   if s in dict:
    dict[s]+=1
   else:
    dict[s]=1
  for j in range(a,n+1):
   s=pre[j]-pre[j-a]
   if s>z:
    continue
   if (z-s) in dict:
    ans+=dict[z-s]
  for j in range(a,n+1):
   s=pre[j]-pre[j-a]
   if s>z:
    continue
   dict[s]=0
   
 print(ans) 
   


# cook your dish here
for _ in range(int(input())):
 n,x=list(map(int,input().split()))
 l=[0]
 pre=[0]*(n+1)
 sum=0
 i=1
 for m in input().split():
  l.append(int(m))
  sum+=int(m)
  pre[i]=sum
  i+=1
 dict={}
 k=[]
 i=1
 while (i*i)<=x:
  if x%i==0:
   k.append(i)
   if (i*i)!=x:
    k.append(x//i)
   else:
    break
  i+=1 
 ans=0 
 for a in k:
  if a>n:
   continue
  z=x//a 
  for j in range(a,n+1):
   s=pre[j]-pre[j-a]
   if s>z:
    continue
   if s in dict:
    dict[s]+=1
   else:
    dict[s]=1
  for j in range(a,n+1):
   s=pre[j]-pre[j-a]
   if s>z:
    continue
   if (z-s) in dict:
    ans+=dict[z-s]
  for j in range(a,n+1):
   s=pre[j]-pre[j-a]
   if s>z:
    continue
   dict[s]=0
   
 print(ans) 
   


for _ in range(int(input())):
 n,X=map(int,input().split())
 b=list(map(int,input().split()))
 a=[[0 for j in range(n+1)] for k in range(n+1)]
 for i in range(n):
  for j in range(n):
   a[i+1][j+1]=b[i]+b[j]
 c=0
 #print(a)
 for i in range(n+1):
  for j in range(n+1):
   if i>0:
    a[i][j]+=a[i-1][j]
   if j>0:
    a[i][j]+=a[i][j-1]
   if i>0 and j>0:
    a[i][j]-=a[i-1][j-1]
   ii=i-1; jj=j-1
   while ii>-1 and jj>-1:
    if a[i][j]-a[ii][j]-a[i][jj]+a[ii][jj]==X:
     c+=1
    ii-=1; jj-=1
 #print(a)
 print(c)

import math
for _ in range(int(input())):
 n,x=map(int,input().split())
 a=list(map(int,input().split()))
 count=0
 #y=a.copy()
 #y.sort()
 y=dict()
 for i in range(n):
  if y.get(a[i]):
   y[a[i]]+=1
  else:
   y[a[i]]=1
 for i in range(n):
  if a[i]>=x:
   pass
  else:
   p=x-a[i]
   if y.get(p):
    count+=y[p]
   else:
    pass
 p=math.sqrt(x)
 if n<p:
  p=n
 b=[]
 k=2
 while k<=p:
  if x%k==0:
   b.append(k)
  k+=1
 #print(b)
 for i in b:
  summ=0
  for j in range(i):
   summ+=a[j]
  c=[summ]
  p=0
  for j in range(i,n):
   summ+=a[j]
   summ-=a[p]
   p+=1
   c.append(summ)
  #c.sort()
  l=len(c)
  #print(i)
  #print(c)
  y=dict()
  for j in range(l):
   if y.get(c[j]):
    y[c[j]]+=1
   else:
    y[c[j]]=1
  for j in range(l):
   if c[j]>=(x//i):
    pass
   else:
    p=(x//i)-c[j]
    if y.get(p):
     count+=y[p]
    else:
     pass
  
 print(count)

import math
for _ in range(int(input())):
 n,x=map(int,input().split())
 a=list(map(int,input().split()))
 count=0
 y=a.copy()
 y.sort()
 for i in range(n):
  if y[i]>=x:
   break
  else:
   p=x-y[i]
   u=0
   v=n-1
   cond=0
   q=0
   while u<=v:
    q=(u+v)//2
    if y[q]>p:
     v=q-1
    elif y[q]<p:
     u=q+1
    else:
     cond=1
     count+=1
     break
   if cond==1:
    r=q
    s=q
    while r>0:
     if y[r-1]==y[r]:
      count+=1
      r-=1
     else:
      break
    while s<n-1:
     if y[s]==y[s+1]:
      count+=1
      s+=1
     else:
      break
 p=math.sqrt(x)
 if n<p:
  p=n
 b=[]
 k=2
 while k<=p:
  if x%k==0:
   b.append(k)
  k+=1
 #print(b)
 po=0
 pot=0
 for i in b:
  summ=pot
  for j in range(po,i):
   summ+=a[j]
  po=i
  pot=summ 
  c=[summ]
  p=0
  for j in range(i,n):
   summ+=a[j]
   summ-=a[p]
   p+=1
   c.append(summ)
  c.sort()
  l=len(c)
  #print(i)
  #print(c)
  for t in range(l):
   if c[t]>=x//i:
    break
   else:
    p=(x//i)-c[t]
    u=0
    v=l-1
    cond=0
    q=0
    while u<=v:
     q=(u+v)//2
     if c[q]>p:
      v=q-1
     elif c[q]<p:
      u=q+1
     else:
      cond=1
      count+=1
      break
    if cond==1:
     r=q
     s=q
     while r>0:
      if c[r-1]==c[r]:
       count+=1
       r-=1
      else:
       break
     while s<l-1:
      if c[s]==c[s+1]:
       count+=1
       s+=1
      else:
       break
    #print(count)
 print(count)

import math
for _ in range(int(input())):
 n,x=map(int,input().split())
 a=list(map(int,input().split()))
 count=0
 y=a.copy()
 y.sort()
 for i in range(n):
  if y[i]>=x:
   break
  else:
   p=x-y[i]
   u=0
   v=n-1
   cond=0
   q=0
   while u<=v:
    q=(u+v)//2
    if y[q]>p:
     v=q-1
    elif y[q]<p:
     u=q+1
    else:
     cond=1
     count+=1
     break
   if cond==1:
    r=q
    s=q
    while r>0:
     if y[r-1]==y[r]:
      count+=1
      r-=1
     else:
      break
    while s<n-1:
     if y[s]==y[s+1]:
      count+=1
      s+=1
     else:
      break
 p=math.sqrt(x)
 if n<p:
  p=n
 b=[]
 k=2
 while k<=p:
  if x%k==0:
   b.append(k)
  k+=1
 #print(b)
 for i in b:
  summ=0
  for j in range(i):
   summ+=a[j]
  c=[summ]
  p=0
  for j in range(i,n):
   summ+=a[j]
   summ-=a[p]
   p+=1
   c.append(summ)
  c.sort()
  l=len(c)
  #print(i)
  #print(c)
  for t in range(l):
   if c[t]>=x//i:
    break
   else:
    p=(x//i)-c[t]
    u=0
    v=l-1
    cond=0
    q=0
    while u<=v:
     q=(u+v)//2
     if c[q]>p:
      v=q-1
     elif c[q]<p:
      u=q+1
     else:
      cond=1
      count+=1
      break
    if cond==1:
     r=q
     s=q
     while r>0:
      if c[r-1]==c[r]:
       count+=1
       r-=1
      else:
       break
     while s<l-1:
      if c[s]==c[s+1]:
       count+=1
       s+=1
      else:
       break
    #print(count)
 print(count)

from datetime import datetime

class dicta(dict):
 def __init__(self, *args, **kwargs):
  super(dicta, self).__init__(*args, **kwargs)
  self.__dict__ = self

# -----------------------------------------------------------------------------
START_TIME = datetime.now()

def debug(**kwargs):

 return
 diff = str(datetime.now() - START_TIME)
 for key, value in list(kwargs.items()):
  if isinstance(value, list):
   print(diff, key + ':')
   for itemKey, item in enumerate(value):
    print('\t\t\t', str(itemKey) + ': ' + str(item))
  elif isinstance(value, dict):
   print(diff, key + ':')
   for itemKey, item in list(value.items()):
    print('\t\t\t', itemKey + ': ' + str(item))
  else:
   print(diff, key + ': ' + str(value))

# -----------------------------------------------------------------------------
def printResult(result):
 if isinstance(result, list):
  print(*result)
 else:
  print(result)

# -----------------------------------------------------------------------------
def main():
 debug(status='started')
 noOfTests = int(input())

 for i in range(noOfTests):
  result = runATest(i)
  if isinstance(result, tuple):
   for line in result:
    printResult(line)
  else:
   printResult(result)
  if noOfTests > 1:
   debug(status='-------------------- finished Test#' + str(i+1) + '                 --------------------')
 debug(status='finished')

def runATest(_testIndex):

 [count, refTotal] = [int(x) for x in input().split()]

 aList = [int(x) for x in input().split()]
 factors = findFactors(refTotal, count)
 # debug(refTotal=refTotal, count=count, factors=factors)

 total = 0
 for factor in factors:
  total += countSquaresOfSize(aList, refTotal, count, factor)
 return total

def findFactors(refTotal, maxFactor):

 outList = [1]

 for i in range(2, int(refTotal/2)+1):
  if i > maxFactor:
   break
  if refTotal % i == 0:
   outList.append(i)

 if refTotal <= maxFactor:
  outList.append(refTotal)

 return outList

def countSquaresOfSize(aList, refTotal, count, size):

 reqSum = int(refTotal / size)
 sumList = [0] * (reqSum + 1)

 sumSize = sum(aList[:size])
 if sumSize <= reqSum:
  sumList[sumSize] += 1
 debug()

 rightOffset = size - 1
 for i in range(1, count + 1 - size):
  # debug(window=i)
  sumSize = sumSize - aList[i - 1] + aList[i + rightOffset]
  if sumSize <= reqSum:
   sumList[sumSize] += 1

 total = 0
 for i in range(0, (reqSum + 1) // 2 + 1):
  # debug(summing=f'{i}, {-1 - i}')
  subTotal = sumList[i] * sumList[-1 - i]
  if i != reqSum - i:
   subTotal *= 2
  total += subTotal

 debug(reqSum=reqSum, size=size, total=total, sumList=sumList)
 return total

main()


from sys import stdin, stdout
import numpy as np

def main():
 for _ in range(int(stdin.readline())):
  N, X = list(map(int,stdin.readline().split()))
  array = np.array(list(map(int,stdin.readline().split()))).reshape(N,1)
  # matrix = array + array.T
  count = 0
  adsum = 0
  sum = 0
  # print(matrix)
  valid = list([x for x in range(1,N+1) if (X/x).is_integer()])
  # print(valid)
  for length in valid:
   for j in range(N-length+1):
    sum = np.sum(array[j:j+length])*length
    for k in range(N-length + 1):
     adsum = length*np.sum(array[k:k+length])
     if sum + adsum == X:
      count += 1

  print(count)

def __starting_point():
 main()

__starting_point()

from datetime import datetime

# -----------------------------------------------------------------------------
START_TIME = datetime.now()

def debug(*args, **kwargs):
 # print(datetime.now() - START_TIME, *args, dict(**kwargs))
 return

# -----------------------------------------------------------------------------
def printResult(result):
 if isinstance(result, list):
  print(*result)
 else:
  print(result)

# -----------------------------------------------------------------------------
def main():
 debug('started')
 noOfTests = int(input())

 for i in range(noOfTests):
  result = runATest(i)
  if isinstance(result, tuple):
   for line in result:
    printResult(line)
  else:
   printResult(result)
 debug('finished')

# -----------------------------------------------------------------------------
# def runATest(_testIndex):

#     [count, refTotal] = [int(x) for x in input().split()]

#     aList = [int(x) for x in input().split()]
#     matrix = [None] * count

#     debug(low=min(aList), high=max(aList), average=sum(aList)/count, len=len    (aList))

#     for i in range(count):
#         matrix[i] = tuple((lambda xi, xj: xi + xj)(aList[i], xj) for xj in     aList)
#     matrix = tuple(matrix)

#     # for i in range(count):
#     #     debug(*matrix[i])

#     return countSquares(matrix, refTotal, count)

# def countSquares(matrix, refTotal, count):

#     total = 0
#     for i in range(count):
#         for j in range(count):
#             if countSquaresAtPoint(matrix, refTotal, count, i, j):
#                 total += 1
#         debug('completed col', i=i, j=j)

#     return total

# def countSquaresAtPoint(matrix, refTotal, count, x, y):

#     maxLimit = min(count - x, count - y)

#     totalSoFar = 0
#     for limit in range(maxLimit):

#         xLimit = x + limit
#         yLimit = y + limit
#         totalSoFar += matrix[xLimit][yLimit]

#         for i in range(x, x + limit):
#             totalSoFar += matrix[i][yLimit]

#         for j in range(y, y + limit):
#             totalSoFar += matrix[xLimit][j]

#         # debug(x=x, y=y, limit=limit, totalSoFar=totalSoFar)

#         if totalSoFar == refTotal:
#             return True

#         if totalSoFar > refTotal:
#             return False

#     return False

def runATest(_testIndex):

 [count, refTotal] = [int(x) for x in input().split()]

 aList = [int(x) for x in input().split()]
 factors = findFactors(refTotal, count)
 debug(factors=factors)

 total = 0
 for factor in factors:
  total += countSquaresOfSize(aList, refTotal, count, factor)
 return total

def findFactors(refTotal, maxFactor):

 outList = [1]

 for i in range(2, int(refTotal/2)+1):
  if i > maxFactor:
   break
  if refTotal % i == 0:
   outList.append(i)

 if refTotal <= maxFactor:
  outList.append(refTotal)

 return outList

def countSquaresOfSize(aList, refTotal, count, size):

 reqTotal = int(refTotal / size)
 maxLen = count + 1 - size
 total = 0

 for i in range(maxLen):
  for j in range(maxLen):
   if countSquaresAtPointOfSize(aList, reqTotal, size, i, j):
    total += 1

 debug('completed size', size=size, total=total)
 return total

def countSquaresAtPointOfSize(aList, reqTotal, size, i, j):

 total = 0

 for k in range(size):
  total += aList[i + k] + aList[j + k]

 debug(i=i, j=j, size=size, total=total, reqTotal=reqTotal)
 return total == reqTotal

main()


# cook your dish here
from math import sqrt
t=int(input())
def get_factors(x):
 factors=[1]
 for i in range(2,int(sqrt(x))+1):
  if k%i==0:
   factors.append(i)
 factors.append(x)
 return factors


for _ in range(t):
 n,k=list([int(x) for x in input().split()])
 a=list([int(x) for x in input().split()])
 factors=get_factors(k)
 total=0
 for factor in factors:
  if factor>len(a):
   break
  freq={}
  sliding_window=a[0:factor]
  s=sum(sliding_window)
  freq[s]=1
  for i in range(factor,len(a)):
   sliding_window=sliding_window[1:]+[a[i]]
   
   s=sum(sliding_window)
   if s>k/factor:
    continue
   if s not in freq:
    freq[s]=0
   freq[s]+=1
  for s in freq:
   total+=freq.get((k//factor)-s,0)*freq[s]
 print(total)


def binary_search(b,item,n):
 lb = 0
 a = b[:]
 ub = n-1
 cnt = 1
 f = 0
 while lb<=ub:
  mid = (lb+ub)//2
  if a[mid] == item:
   f = 1
   a.pop(mid)
   ub = ub - 1
   cnt = cnt + 1
  elif a[mid] > item:
   ub = mid - 1
  else:
   lb = mid + 1

 if f == 1:
  return cnt
 else:
  return False


cases = int(input())
for v in range(cases):
 a = list(map(int,input().strip().split()))
 n = a[0]
 x = a[1]
 a = list(map(int,input().strip().split()))
 
 cnt = 0

 for i in range(1,n+1):
  if x%i == 0:
   side = i
   freq = 0
   subsetsum = []
   left = 0
   right = i-1
   s = sum(a[:right+1])
   if s > x:
    freq = freq + 1
   else:
    subsetsum.append(s)
   while right < n - 1:
    right += 1
    s = s + a[right] - a[left]
    left += 1
    
    if s > x:
     freq = freq + 1
    else:
     subsetsum.append(s)
    
   y = x//side
   subsetsum.sort()
   
   for r in range(n-side+1-freq):
    h = binary_search(subsetsum,y-subsetsum[r],n-side+1-freq)
    if h:
     cnt = cnt + h-1
    


 print(cnt)
   
    
# a = [1,2,3,4,5]
# n = 5
# for i in range(1,6):
#     print(i)
#     left = 0
#     right = i-1
#     subset = []
#     s = sum(a[:right+1])
#     subset.append(s)
#     while right < n-1:
#         right += 1
#         s = s + a[right] - a[left]
#         left += 1
#         subset.append(s)

#     print(subset)


cases = int(input())
for v in range(cases):
 a = list(map(int,input().strip().split()))
 n = a[0]
 x = a[1]
 a = list(map(int,input().strip().split()))
 
 cnt = 0

 for i in range(1,n+1):
  if x%i == 0:
   side = i
   freq = 0
   subsetsum = []
   left = 0
   right = i-1
   s = sum(a[:right+1])
   if s > x:
    freq = freq + 1
   else:
    subsetsum.append(s)
   while right < n - 1:
    right += 1
    s = s + a[right] - a[left]
    left += 1
    
    if s > x:
     freq = freq + 1
    else:
     subsetsum.append(s)
    

   for r in range(n-side+1-freq):
    
    for c in range(n-side+1-freq):
     if subsetsum[r] + subsetsum[c] == x//side:
      cnt += 1

 print(cnt)
   
    
# a = [1,2,3,4,5]
# n = 5
# for i in range(1,6):
#     print(i)
#     left = 0
#     right = i-1
#     subset = []
#     s = sum(a[:right+1])
#     subset.append(s)
#     while right < n-1:
#         right += 1
#         s = s + a[right] - a[left]
#         left += 1
#         subset.append(s)

#     print(subset)


cases = int(input())
for v in range(cases):
 a = list(map(int,input().strip().split()))
 n = a[0]
 x = a[1]
 a = list(map(int,input().strip().split()))
 
 cnt = 0

 for i in range(1,n+1):
  if x%i == 0:
   side = i
   subsetsum = []
   left = 0
   right = i-1
   s = sum(a[:right+1])
   subsetsum.append(s)
   while right < n - 1:
    right += 1
    s = s + a[right] - a[left]
    left += 1
    subsetsum.append(s)
    

   
   for r in range(n-side+1):
    if subsetsum[r] >= x:
     continue
    for c in range(n-side+1):
     if subsetsum[r] + subsetsum[c] == x//side:
      cnt += 1

 print(cnt)
   
    
# a = [1,2,3,4,5]
# n = 5
# for i in range(1,6):
#     print(i)
#     left = 0
#     right = i-1
#     subset = []
#     s = sum(a[:right+1])
#     subset.append(s)
#     while right < n-1:
#         right += 1
#         s = s + a[right] - a[left]
#         left += 1
#         subset.append(s)

#     print(subset)


try:
 import math
 from collections import defaultdict
 from sys import stdin
 for _ in range(int(stdin.readline())):
  n,x=list(map(int,stdin.readline().strip().split()))
  list1=list(map(int,stdin.readline().strip().split()))
  ll=set()
  for i in range(1,n):
   list1[i]=list1[i]+list1[i-1]
  c=0 
  for i in range(1,n+1):
   if(x%i==0):
    a=i
    y=x//a
    list2=[0]*(y+1)
    j=-1
    dict1={}
    for i in range(a-1,n):
     if(j==-1):
      if(list1[i]<=y):    
       list2[list1[i]]+=1

      j+=1
     else:
      if(list1[i]-list1[j]<=y):    
       list2[list1[i]-list1[j]]+=1

      j+=1
    j=-1
    for i in range(a-1,n):
     if(j==-1):
      if(list1[i]<=y):  
       c+=list2[y-list1[i]] 

      j+=1
     else:
      if(list1[i]-list1[j]<=y):   
       if(list1[i]-list1[j]<=y):    
        c+=list2[y-(list1[i]-list1[j])]

      j+=1

  print(c)

except:
 pass
   


try:
 import math
 from collections import defaultdict
 for _ in range(int(input())):
  n,x=map(int,input().split())
  list1=list(map(int,input().split()))
  ll=set()
  for i in range(1,n):
   list1[i]=list1[i]+list1[i-1]
  c=0 
  for i in range(1,n+1):
   if(x%i==0):
    a=i
    y=x//a
    list2=[0]*(y+1)
    j=-1
    dict1={}
    for i in range(a-1,n):
     if(j==-1):
      if(list1[i]<=y):    
       list2[list1[i]]+=1

      j+=1
     else:
      if(list1[i]-list1[j]<=y):    
       list2[list1[i]-list1[j]]+=1

      j+=1
    j=-1
    for i in range(a-1,n):
     if(j==-1):
      if(list1[i]<=y):  
       c+=list2[y-list1[i]] 

      j+=1
     else:
      if(list1[i]-list1[j]<=y):   
       if(list1[i]-list1[j]<=y):    
        c+=list2[y-(list1[i]-list1[j])]

      j+=1

  print(c)

except:
 pass

try:
 import math
 from sys import stdin
 from collections import defaultdict
 for _ in range(int(stdin.readline())):
  n,x=list(map(int,stdin.readline().strip().split()))
  list1=list(map(int,stdin.readline().strip().split()))
  ll=set()
  for i in range(1,n):
   list1[i]=list1[i]+list1[i-1]
  c=0 
  for i in range(1,n+1):
   if(x%i==0):
    a=i
    y=x//a
    list2=[]
    j=-1
    dict1={}
    for i in range(a-1,n):
     if(j==-1):
      list2.append(list1[i])
      if(list1[i] in dict1):
       dict1[list1[i]]+=1
      else:
       dict1[list1[i]]=1
      j+=1
     else:
      list2.append(list1[i]-list1[j])
      if(list1[i]-list1[j] in dict1):
       dict1[list1[i]-list1[j]]+=1
      else:
        dict1[list1[i]-list1[j]]=1
      j+=1
    # print(list2)
    # print(dict1)
    for k in list2:
     # dict1[k]-=1
     if(y-k in dict1):
      c+=dict1[y-k]
    # c+=dict1(y-k)
    # dict1[k]+=1
  print(c)

except:
 pass
   


try:      
 import math
 from collections import defaultdict
 for _ in range(int(input())):
  n,x=list(map(int,input().split()))
  list1=list(map(int,input().split()))
  ll=set()
  for i in range(1,int(math.sqrt(x))+1):
   if(x%i==0):
    if(i<=n):
     ll.add(i)
    if(x//i<=n):
     ll.add(x//i)
     
  for i in range(1,n):
   list1[i]=list1[i]+list1[i-1]
  c=0 
  for i in ll:
   a=i
   y=x//a
   list2=[]
   j=-1
   dict1={}
   for i in range(a-1,n):
    if(j==-1):
     list2.append(list1[i])
     if(list1[i] in dict1):
      dict1[list1[i]]+=1
     else:
      dict1[list1[i]]=1
     j+=1
    else:
     list2.append(list1[i]-list1[j])
     if(list1[i]-list1[j] in dict1):
      dict1[list1[i]-list1[j]]+=1
     else:
       dict1[list1[i]-list1[j]]=1
     j+=1
   # print(list2)
   # print(dict1)
   for k in list2:
    # dict1[k]-=1
    if(y-k in dict1):
     c+=dict1[y-k]
    # c+=dict1(y-k)
    # dict1[k]+=1
  print(c)
except:
 pass



try:    
 import math
 for _ in range(int(input())):
  n,x=list(map(int,input().split()))
  list1=list(map(int,input().split()))
  ll=set()
  for i in range(1,int(math.sqrt(x))+1):
   if(x%i==0):
    if(i<=n):
     ll.add(i)
    if(x//i<=n):
     ll.add(x//i)
     
  for i in range(1,n):
   list1[i]=list1[i]+list1[i-1]
  c=0 
  for i in ll:
   a=i
   y=x//a
   list2=[]
   j=-1
   for i in range(a-1,n):
    if(j==-1):
     list2.append(list1[i])
     j+=1
    else:
     list2.append(list1[i]-list1[j])
     j+=1
   # print(list2)
   for k in list2:
    c+=list2.count(y-k)
  print(c)
  
except:
 pass


import math

t=int(input()) #scanf("%d",&t);
while(t!=0):
 t-=1
 ans=0
 n,x = map(int,input().split())
 l = list(map(int,input().split()))
 a = []
 a.append(0)
 for i in range(n):
  a.append(l[i]+a[i])
 for i in range(1,(int)(math.sqrt(x)+1)):
  if(x%i is 0):
   y=x/i
   m = {}
   for j in range(i,n+1):
    if(a[j]-a[j-i] in m):
     m[a[j]-a[j-i]]+=1
    else:
     m[a[j]-a[j-i]]=1;
   
   for j in range(i,n+1):
    z=y-(a[j]-a[j-i])
    if(z in m):
     if((a[j]-a[j-i]) == z):
      ans+=(m[a[j]-a[j-i]]*m[z])
      m[z]=0
     else:
      ans+=(m[a[j]-a[j-i]]*m[z]*2)
      m[a[j]-a[j-i]]=0
      m[z]=0
 print(ans)

import math

t=int(input()) #scanf("%d",&t);
while(t!=0):
 t-=1
 ans=0
 n,x = map(int,input().split())
 l = list(map(int,input().split()))
 a = []
 a.append(0)
 for i in range(n):
  a.append(l[i]+a[i])
 for i in range(1,(int)(math.sqrt(x)+1)):
  if(x%i is 0):
   y=x/i
   m = {}
   for j in range(i,n+1):
    if(a[j]-a[j-i] in m):
     m[a[j]-a[j-i]]+=1
    else:
     m[a[j]-a[j-i]]=1;
   
   for j in range(i,n+1):
    z=y-(a[j]-a[j-i])
    if(z in m):
     ans+=(m[a[j]-a[j-i]]*m[z])
     if((a[j]-a[j-i]) == z):
      m[a[j]-a[j-i]]=0
     
 print(ans)

def main():
 T=int(input())
 for _ in range(T):
  N,X=map(int,input().split())
  A=[0]+list(map(int,input().split()))
  factorsList=[]
  i=1
  ans=0
  while(i*i)<=X:
   if X%i==0:
    factorsList.append(i)
    if i!=(X//i):
     factorsList.append(X//i)
   i+=1
  prefixSums=[0]
  for i in range(1,N+1):
   prefixSums.append(prefixSums[i-1]+A[i])
     
  for factor in factorsList:
   if factor>N:
    continue
   summRequired=X//factor
   d={}
   for i in range(factor,N+1):
    s=prefixSums[i]-prefixSums[i-factor]
    if s<=summRequired:
     if s not in d:
      d[s]=1
     else:
      d[s]+=1
   for i in range(factor,N+1):
    s=prefixSums[i]-prefixSums[i-factor]
    if s<=summRequired:
     if (summRequired-s) in d:
      ans+=d[summRequired-s]
  print(ans)
def __starting_point():
 main()
__starting_point()