p03835 AtCoder Beginner Contest 051 - Sum of Three Integers
You are given two integers K and S.
Three variable X, Y and Z takes integer values satisfying 0≤X,Y,Z≤K.
How many different assignments of values to X, Y and Z are there such that X + Y + Z = S?

Constraints

* 2≤K≤2500
* 0≤S≤3K
* K and S are integers.

Input

The input is given from Standard Input in the following format:


K S


Output

Print the number of the triples of X, Y and Z that satisfy the condition.

Examples

Input

2 2


Output

6


Input

5 15


Output

1
```python
k,s=map(int,input().split());r=range;print(sum(1for x in r(k+1)for y in r(k+1)if 0<=s-x-y<=k))
```