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
def int_raw():
    return int(raw_input())

def ss_raw():
    return raw_input().split()

def ints_raw():
    return map(int,ss_raw())

INF = 1<<29

DIV = 10**9+7

K, S = ints_raw()

ans = 0 
for X in xrange(K+1):
    for Y in xrange(K+1):
        Z = S-X-Y
        if Z>=0 and Z<=K:
            ans+=1

print ans






