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

inputFormat

Input

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

K S

outputFormat

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

样例

2 2

6