Problem:
Score : 200 points

Problem Statement

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.

Sample Input 1

2 2

Sample Output 1

6

There are six triples of X, Y and Z that satisfy the condition:

X = 0, Y = 0, Z = 2

X = 0, Y = 2, Z = 0

X = 2, Y = 0, Z = 0

X = 0, Y = 1, Z = 1

X = 1, Y = 0, Z = 1

X = 1, Y = 1, Z = 0

Sample Input 2

5 15

Sample Output 2

1

The maximum value of X + Y + Z is 15, achieved by one triple of X, Y and Z.

Solution in Fortran (GNU Fortran 9.2.1) (judge verdict: Accepted)

program prob5
    implicit none
    integer :: K, S
    integer :: x, y
    integer :: ans

    read(*,*) K, S

    ans = 0
    do x = 0, K
        do y = 0, K
            if(x + y >= S - K .and. x + y <= S) then
                ans = ans + 1
            end if
        end do
    end do

    write(*,*) ans
    stop
contains
end program prob5