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Number of Integer solutions
     

You are given a positive integer N and you have to find the number of non negative integral solutions to a + b + c = N.
 

Input:
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow. 
The first and only line of each test case contains a positive integer N.

Output:
For each test case in a new line, print the number of possible non negative integral solutions.

 

Constraints:
1 <= T <= 100
1 <= N <= 1000

 

Example:

Input:
2
10
20

Output:
66
231

 

 

 

 

 

**For More Examples Use Expected Output**


Contributor: Hemang Sarkar

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