Chef is interested to solve series problems. Chef wants to solve a series problem but he can't 
solve it till now.Can you help Chef to solve the series problem?
- In series problem, the series goes as follows 1,9,31,73,141 . . . . . . . . 
Your task is to find the Nth term of series. For larger value of $N$ answer becomes very large, So your output should be performed $N$th term modulo 1000000007 ($10^9+7$ ).

-----Input:-----
- First line will contain $T$, number of testcases. Then the testcases follow. 
- Each testcase contains of a single integer $N$. 

-----Output:-----
For each testcase,  output in a single line answer i.e. The $N$th term of series modulo 1000000007.

-----Constraints-----
- $1 \leq T \leq 10^5$
- $1 \leq N \leq 10^9$

-----Sample Input:-----
2

8

10

-----Sample Output:-----
561

1081

Difficulty: interview

Starter code:

Solutions:
# cook your dish here
try:
 for t in range(int(input())):
  n=int(input())
  ans=n*n*n+((n-1)**2)
  if ans<=10**9+7:
   print(ans)
  else:
   print(ans)%(10**9+7)
except:
 pass

t=int(input())
for i in range(t):
 n=int(input())
 s=(n**3)+((n-1)**2)
 print(s%1000000007)


# cook your dish here
series=[]
series.append(0)
i=1
j=2
for i in range(1,10000007):
 series.append(i*i+j*j*j)
 i=i+1
 j=j+1
 
t=int(input())
while t>0:
 n=int(input())
 print(series[n-1]%1000000007) 
 t=t-1


# cook your dish here
t=int(input())
for i in range(t):
 n=int(input())
 if(n==1):
  print(n)
 elif(n<0):
  print(0)
 else:
  print((((n-1)*(n-1))+(n*n*n))%1000000007)

for _ in range(int(input())):
 n = int(input())
 arr = [1, 9, 31]
 diff = [8, 22]
 if n == 1:
  print(arr[0])
 elif n == 2:
  print(arr[1])
 elif n == 3:
  print(arr[-1])
 else:
  has = 0
  for i in range(2, n-1):
   value = (diff[i - 1] - diff[i - 2])
   value = value + 6
   value = value + diff[-1]
   diff.append(value)
   value = value + arr[-1]
   arr.append(value)

  print(arr[-1] % ((10**9) + 7))

for tc in range(int(input())) :
 n = int(input())
 t = n**3 + (n-1)**2
 print(t%1000000007)

def power(x, y, p) : 
 res = 1
 x = x % p 
  
 if (x == 0) : 
  return 0
 
 while (y > 0) :
  
  if ((y & 1) == 1) : 
   res = (res * x) % p 
   
  y = y >> 1 
  x = (x * x) % p 
   
 return res 
 
t = int(input())
mod = 1000000007
for _ in range(t):
 n = int(input())
 ans = power(n-1,2,mod) + power(n,3,mod)
 print(ans%mod)

for _ in range(int(input())):
 n=int(input())
 result= (n**3)+((n-1)**2)
 result = result%(1000000007)

 print(result)

# cook your dish here
t = int(input())
while t > 0:
 n = int(input())
 ans = (n-1)*(n-1) + n*n*n
 print(ans%1000000007)
 t = t -1;

for _ in range(int(input())):
 n=int(input())
 result= (n**3)+((n-1)**2)
 result = result%(1000000007)

 print(result)

# cook your dish here
try:
 for _ in range(int(input())):
  n=int(input())
  r=n**3+(n-1)**2
  print(r%1000000007)
except:pass 


import math
for _ in range(int(input())):
 n=int(input())-1
 nth=math.pow(n,2)+math.pow((n+1),3)
 print(int(nth%1000000007))


# cook your dish here
for _ in range(int(input())):
  n=int(input())
  print((((n-1)**2)+(n**3))%1000000007)

for _ in range(int(input())):
 n=int(input())
 m=1000000007
 print((((n-1)**2) + n**3) % m)

# cook your dish here
for u in range(int(input())):
 n=int(input())
 s=(n-1)**2+n**3
 print(s%(10**9+7))


# cook your dish here
for u in range(int(input())):
 n=int(input())
 s=(n-1)**2+n**3
 print(s%(10**9+7))


# cook your dish here
try:
 t=int(input())
 for _ in range(t):
  n=int(input())
  M = 1000000007
  d=n**3
  f=(n-1)**2
  g=(d+f)%M 
  print(g)
except:
 pass

# cook your dish here
for i in range(int(input())):
 x=int(input())
 a=x*x*x+(x-1)*(x-1)
 print(a%1000000007)

# cook your dish here
for i in range(int(input())):
 n=int(input())
 #mod=1000000007
 res=(pow(n-1,2)+pow(n,3))
 print(res%1000000007)

t = int(input())
for i in range(t):
 n = int(input())
 x = [1]
 for i in range(1,n):
  p = (i**2 + (i+1)**3)%1000000007
  x.append(p)
 print(x[n-1])

# cook your dish here
T = int(input())
while T > 0:
 N = int(input())
 T = T - 1
 A = (N - 1)**2 + N**3
 print(A%1000000007)

# cook your dish here
for _ in range(int(input())):
 n = int(input())
 print(((n-1)**2 + n**3) % 1000000007)

# cook your dish here
for i in range(int(input())):
 n = int(input())
 x = ((n-1)**2)+((n)**3)
 if x>1000000000:
  x = x%1000000007
 print(x)

from math import sqrt
for _ in range(int(input())):
 N, MOD = int(input()), 1000000007
 print(((N - 1) ** 2) + (N ** 3) % MOD)

x=pow(10,9)+7 
for i in range(int(input())):
 n=int(input())
 ans=pow(n,3)+pow(n-1,2)
 print(ans%x)