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
# vim: set fileencoding=utf-8 :
k, s = map(int, raw_input().split())
patterns = []
ct = 0

for x in range(k + 1):
    nokori = s - x
    for y in range(k + 1):
        if 0 <= nokori - y <= k:
            ct += 1

print(ct)
