Chef has an array A consisting of N elements. He wants to find number of pairs of non-intersecting segments [a, b] and [c, d] (1 ≤ a ≤ b < c ≤ d ≤ N) such there is no number that occurs in the subarray {Aa, Aa+1, ... , Ab} and   {Ac, Ac+1, ... , Ad} simultaneously. 
Help Chef to find this number.

-----Input-----
- The first line of the input contains an 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 denoting the number of elements in the array.
- The second line contains N space-separated integers A1, A2, ..., AN. 

-----Output-----
- For each test case, output a single line containing one integer - number of pairs of non-intersecting segments. 

-----Constraints-----
- 1 ≤ T ≤ 5
- 1 ≤ N ≤ 1000
- 1 ≤ Ai ≤ 109

-----Subtasks-----Subtask 1 (7 points)
- 1 ≤ N ≤ 20Subtask 2 (34 points)
- 1 ≤ N ≤ 300Subtask 3 (59 points)
- Original constraints

-----Example-----
Input:
2
3
1 2 3
4
1 2 1 2

Output:
5
4

-----Explanation-----
Example case 1.
All possible variants are correct: {[1, 1], [2, 2]}, {[1, 1], [2, 3]}, {[1, 2], [3, 3]}, {[2, 2], [3, 3]}, {[1,1], [3, 3]}.

Example case 2.
Correct segments: {[1, 1], [2, 2]}, {[1, 1], [4, 4]}, {[2, 2], [3, 3]}, {[3, 3], [4, 4]}.

Starter code:

Solutions:
t=int(input())
for q in range(t):
 n=int(input())
 x=list(map(int,input().split()))
 dic={}
 dic2={}
 for i in range(n):
  dic2[x[i]]=1
 #print dic2
 if len(dic2)==n:
  n+=2
  print((n*(n-1)*(n-2)*(n-3))/24)
  continue 
 counter=0
 for i in range(n-1):
  if x[i] in dic:
   dic[x[i]]+=1
  else:
   dic[x[i]]=1
  for j in range(i,n-1):
   if x[j] in dic:
    dic[x[j]]+=1
   else:
    dic[x[j]]=1
   for p in range(j+1,n):
    if x[p] in dic:
     continue;
    for q in range(p,n):
     if x[q] in dic:
      break
     counter+=1
     #print i,j,p,q
     
  dic.clear()
 print(counter)

def func():
 count=0
 for i in range(N-1):
  for group_size in range(1,N-i):
   I=set(A[i:i+group_size])
   #print I
   m=0
   for j in range(i+group_size,N):
    if(A[j] not in I):
     m+=1
    else:
     count+=(m*(m+1)/2)
     m=0
   count+=(m*(m+1)/2)
 print(count)
 
 
T=int(input())
 
for t in range(T):
 N=int(input())
 A=input().split(" ")
 
 func()


def repeats(A,x):
 for i in range(N):
  if(x==A[i]):
   return i
 return -1

def assign_indices(A,newA):
 for i in range(N):
  x=repeats(A,A[i])
  if(x==-1):
   newA[i]=i
  else:
   newA[i]=x

T=int(input())

for t in range(T):
 N=int(input())
 A=input().split(" ")

 indices=[0 for x in range(1005)]

 for i in range(N):
  A[i]=int(A[i])

 assign_indices(A,indices)
 total=0
 taken=[]

 for i in range(N-1):
  taken=[0 for x in range(1005)]
  for j in range(i,N):
   before=0
   taken[indices[j]]+=1
   for k in range(j+1,N):
    if(taken[indices[k]]==0):
     total=total+(k-j)-before
    else:
     before=k-j

 print(total)


def repeats(A,x):
 for i in range(N):
  if(x==A[i]):
   return i
 return -1

def assign_indices(A,newA):
 for i in range(N):
  x=repeats(A,A[i])
  if(x==-1):
   newA.append(i)
  else:
   newA.append(x)

T=int(input())

for t in range(T):
 N=int(input())
 A=input().split(" ")

 indices=[]

 for i in range(N):
  A[i]=int(A[i])

 assign_indices(A,indices)
 total=0

 for i in range(N-1):
  taken=[0 for x in range(1005)]
  for j in range(i,N):
   before=0
   taken[indices[j]]+=1
   for k in range(j+1,N):
    if(taken[indices[k]]==0):
     total=total+(k-j)-before
    else:
     before=k-j

 print(total)


def repeats(A,x):
 for i in range(N):
  if(x==A[i]):
   return i
 return -1

def assign_indices(A,newA):
 for i in range(N):
  x=repeats(A,A[i])
  if(x==-1):
   newA.append(i)
  else:
   newA.append(x)

T=int(input())

for t in range(T):
 N=int(input())
 A=input().split(" ")

 indices=[]

 for i in range(N):
  A[i]=int(A[i])

 assign_indices(A,indices)
 total=0

 for i in range(N-1):
  taken=[0 for x in range(1005)]
  for j in range(i,N):
   before=0
   taken[indices[j]]+=1
   for k in range(j+1,N):
    if(taken[indices[k]]==0):
     total=total+(k-j)-before
    else:
     before=k-j

 print(total)


t=int(input())
for q in range(t):
 n=int(input())
 x=list(map(int,input().split()))
 dic={}
 counter=0
 for i in range(n-1):
  if x[i] in dic:
   dic[x[i]]+=1
  else:
   dic[x[i]]=1
  for j in range(i,n-1):
   if x[j] in dic:
    dic[x[j]]+=1
   else:
    dic[x[j]]=1
   for p in range(j+1,n):
    if x[p] in dic:
     continue;
    for q in range(p,n):
     if x[q] in dic:
      break
     counter+=1
     #print i,j,p,q
     
  dic.clear()
 print(counter)

def func():
 count=0
 N=len(A)
 for i in range(N-1):
  for group_size in range(1,N-i):
   m=0
   new_element=A[i+group_size-1]
   for j in range(i+group_size,N):
    if(group_size==1):
     if(A[j]!=A[i]):
      m+=1
      marker[j]=0
     else:
      marker[j]=1
      count+=(m*(m+1)/2)
      m=0
    else:
     if(marker[j]==0 and A[j]!=new_element):
      m+=1
     else:
      marker[j]=1
      count+=(m*(m+1)/2)
      m=0 
   count+=(m*(m+1)/2)
 print(count)
 
 
T=int(input())

marker=[0 for h in range(1005)]
 
for t in range(T):
 N=int(input())
 A=input().split(" ")
 
 func()


for t in range(int(input())):
 n = int(input())
 a = list(map(int, input().split()))
 d = {}
 for i in range(n):
  d[a[i]] = []
 for i in range(n):
  d[a[i]].append(i) 
 ans = 0
 for i in range(n):
  temp = []
  pos = []
  for j in range(i,n):
   f = []
   if (a[j] not in temp):
    curr = 0
    temp.append(a[j])
    pos+=d[a[j]]
    pos.sort()
    if (pos[-1] != (n-1)):
     f = pos + [n]
    else:
     f = pos
   for p in range(1,len(f)):
    if (f[p] > j):
     curr += (f[p] - f[p-1] - 1) * (f[p] - f[p-1]) / 2
   ans += curr
 print(ans)


for t in range(int(input())):
 n = int(input())
 a = list(map(int, input().split()))
 d = {}
 for i in range(n):
  d[a[i]] = []
 for i in range(n):
  d[a[i]].append(i) 
 ans = 0
 for i in range(n):
  temp = []
  pos = []
  visited = {}
  for j in range(i,n):
   if (visited.get(a[j], True)):
    visited[a[j]] = False
    temp.append(a[j])
    pos += d[a[j]]
    pos.sort()
    if (pos[-1] != (n-1)):
     f = pos + [n]
    else:
     f = pos
   curr = 0
   for p in range(1,len(f)):
    if (f[p] > j):
     curr += (f[p] - f[p-1] - 1) * (f[p] - f[p-1]) / 2
   ans += curr
 print(ans)


t = int(input())
#nsum = [ z*(z+1)/2 for z in xrange(1001)]
for i in range (t):
 n = int(input())
 a = input().split()
 a = [ int(x) for x in a]
 if n==1:
  print('0')
  continue
 pos = {}
 for j in range(n):
  if pos.get(a[j],[])==[]:
   for k in range(j+1,n):
    if a[j] == a[k] :
     pos[a[j]] = pos.get(a[j],[]) + [k]
 total = 0
 for j in range(n-1):
  ar = []
  for k in range(j,-1,-1):
   for x in pos.get(a[k],[]):
    if x>j:
     ar += [x]
   ar.sort()
   if len(ar) > 0:
    total += (ar[0] - j-1)*(ar[0]-j)/2 + (n - ar[-1]-1)*(n-ar[-1])/2
    #print ar
    #print (ar[0] - j-1)*(ar[0]-j)/2 + (n - ar[-1]-1)*(n-ar[-1])/2
   else:
    total += (n-j-1)*(n-j)/2
    #print ar
    #print (n-j-1)*(n-j)/2
   for x in range(len(ar[0:-1])):
    total = total + (ar[x+1]-ar[x]-1)*(ar[x+1]-ar[x])/2
    #print (ar[x+1]-ar[x]-1)*(ar[x+1]-ar[x])/2
 print(total)

for _ in range(eval(input())):
 n = eval(input())
 l = list(map(int, input().split()))
 c = 0
 s=[]
 for i in range(n):
  for j in range(i, n):
   s+=[set(l[i:j+1])]
 for i in range(len(s)):
  for j in range(i+1, len(s)):
   c+=len(s[i]&s[j])==0
 print(c)

for _ in range(eval(input())):
 n = eval(input())
 l = list(map(int, input().split()))
 c = 0
 for i in range(n):
  for j in range(i, n):
   for k in range(i):
    for m in range(k, i):
     c+=len(set(l[i:j+1])&set(l[k:m+1]))==0
 print(c)

for _ in range(eval(input())):
 n = eval(input())
 l = list(map(int, input().split()))
 c = 0
 for i in range(n):
  for j in range(n):
   for k in range(n):
    for m in range(n):
     a = set(l[i:j+1])
     b = set(l[k:m+1])
     if len(a) and len(b) and len(a&b)==0:
      c+=1
 print(c/2)

t = eval(input())
while t>0:
 n = eval(input())
 ar = list(map(int,input().split()))
 c = 0
 for i in range(0,n):
  for j in range(i,n):
   for k in range(j+1,n):
    for l in range(k,n):
     res = []
     res = list(set(ar[i:j+1]).intersection(set(ar[k:l+1])))
     #print ar[i:j+1], ar[k:l+1]
     if len(res)==0:
      c+=1
 print(c)
 t-=1 

def func():
 count=0
 N=len(A)
 marker=[0 for h in range(N)]
 for i in range(N-1):
  for group_size in range(1,N-i):
   #I=set(A[i:i+group_size])
   m=0
   new_element=A[i+group_size-1]
   for j in range(i+group_size,N):
    if(group_size==1):
     if(A[j]!=A[i]):
      m+=1
      marker[j]=0
      #print "hello",A[j],m
     else:
      marker[j]=1
      count+=(m*(m+1)/2)
      #print "oops",count,m
      m=0
    else:
     if(marker[j]==0 and A[j]!=new_element):
      m+=1
     else:
      marker[j]=1
      count+=(m*(m+1)/2)
      m=0 
   count+=(m*(m+1)/2)
 print(count)
 
 
T=int(input())
 
for t in range(T):
 N=int(input())
 A=input().split(" ")
 
 #for i in range(N):
  #   A[i]=int(A[i])
 
 func()


def func():
 count=0
 N=len(A)
 marker=[0 for h in range(N)]
 for i in range(N-1):
  for group_size in range(1,N-i):
   #I=set(A[i:i+group_size])
   m=0
   new_element=A[i+group_size-1]
   for j in range(i+group_size,N):
    if(group_size==1):
     if(A[j]!=A[i]):
      m+=1
      marker[j]=0
      #print "hello",A[j],m
     else:
      marker[j]=1
      count+=(m*(m+1)/2)
      #print "oops",count,m
      m=0
    else:
     if(marker[j]==0 and A[j]!=new_element):
      m+=1
     else:
      marker[j]=1
      count+=(m*(m+1)/2)
      m=0 
   count+=(m*(m+1)/2)
 print(count)
 
 
T=int(input())
 
for t in range(T):
 N=int(input())
 A=input().split(" ")
 
 for i in range(N):
  A[i]=int(A[i])
 
 func()


def func():
 count=0
 N=len(A)
 marker=[0 for h in range(N)]
 for i in range(N-1):
  for group_size in range(1,N-i):
   I=set(A[i:i+group_size])
   m=0
   new_element=A[i+group_size-1]
   for j in range(i+group_size,N):
    if(group_size==1):
     if(A[j] not in I):
      m+=1
      marker[j]=0
      #print "hello",A[j],m
     else:
      marker[j]=1
      count+=(m*(m+1)/2)
      #print "oops",count,m
      m=0
    else:
     if(marker[j]==0 and A[j]!=new_element):
      m+=1
     else:
      marker[j]=1
      count+=(m*(m+1)/2)
      m=0 
   count+=(m*(m+1)/2)
 print(count)
 
 
T=int(input())
 
for t in range(T):
 N=int(input())
 A=input().split(" ")
 
 for i in range(N):
  A[i]=int(A[i])
 
 func()


def func():
 count=0
 N=len(A)
 for i in range(N-1):
  marker=[0 for h in range(N)]
  for group_size in range(1,N-i):
   I=set(A[i:i+group_size])
   m=0
   new_element=A[i+group_size-1]
   for j in range(i+group_size,N):
    if(group_size==1):
     if(A[j] not in I):
      m+=1
      #print "hello",A[j],m
     else:
      marker[j]=1
      count+=(m*(m+1)/2)
      #print "oops",count,m
      m=0
    else:
     if(marker[j]==0 and A[j]!=new_element):
      m+=1
     else:
      marker[j]=1
      count+=(m*(m+1)/2)
      m=0 
   count+=(m*(m+1)/2)
 print(count)
 
 
T=int(input())
 
for t in range(T):
 N=int(input())
 A=input().split(" ")
 
 for i in range(N):
  A[i]=int(A[i])
 
 func()


z = []
for i in range(1001):
 z.append(i * (i-1) / 2)
for t in range(int(input())):
 n = int(input())
 a = list(map(int, input().split())) 
 d = {}
 for i in range(n):
  d[a[i]] = []
 for i in range(n):
  d[a[i]].append(i) 
 ans = 0
 for i in range(n):
  temp = []
  pos = []
  for j in range(i,n):
   if (a[j] not in temp):
    temp.append(a[j])
    l1 = pos
    l2 = d[a[j]]
    pos = []
    i1 = 0
    i2 = 0
    len1 = len(l1)
    len2 = len(l2)
    while (i1<len1 and i2<len2):
     if (l1[i1] < l2[i2]):
      pos.append(l1[i1])
      i1 += 1
     else:
      pos.append(l2[i2])
      i2 += 1
    while (i1<len1):
     pos.append(l1[i1])
     i1 += 1
    while (i2<len2):
     pos.append(l2[i2])
     i2 += 1
     
    if (pos[-1] != (n-1)):
     f = pos + [n]
    else:
     f = pos
   curr = 0
   for p in range(1,len(f)):
    if (f[p] > j):
     xxx = (f[p] - f[p-1])
     curr += z[xxx]
   ans += curr
 print(ans)


z = []
for i in range(301):
 z.append(i * (i-1) / 2)
for t in range(int(input())):
 n = int(input())
 a = list(map(int, input().split())) 
 d = {}
 for i in range(n):
  d[a[i]] = []
 for i in range(n):
  d[a[i]].append(i) 
 ans = 0
 for i in range(n):
  temp = []
  pos = []
  for j in range(i,n):
   if (a[j] not in temp):
    temp.append(a[j])
    pos += d[a[j]]
    pos.sort()
    if (pos[-1] != (n-1)):
     f = pos + [n]
    else:
     f = pos
   curr = 0
   for p in range(1,len(f)):
    if (f[p] > j):
     xxx = (f[p] - f[p-1])
     curr += z[xxx]
   ans += curr
 print(ans)


z = []
for i in range(1001):
 z.append(i * (i-1) / 2)
for t in range(int(input())):
 n = int(input())
 a = list(map(int, input().split())) 
 d = {}
 for i in range(n):
  d[a[i]] = []
 for i in range(n):
  d[a[i]].append(i) 
 ans = 0
 for i in range(n):
  temp = []
  pos = []
  for j in range(i,n):
   if (a[j] not in temp):
    temp.append(a[j])
    pos += d[a[j]]
    pos.sort()
    if (pos[-1] != (n-1)):
     f = pos + [n]
    else:
     f = pos
   curr = 0
   for p in range(1,len(f)):
    if (f[p] > j):
     xxx = (f[p] - f[p-1])
     curr += z[xxx]
   ans += curr
 print(ans)