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 (gfortran v4.8.4) (judge verdict: Wrong Answer)

  !https://atcoder.jp/contests/abc051/tasks/abc051_b
program main
  implicit none
  integer :: K,S
  integer :: out,out2
  integer :: i,j,l
  read(*,*) K,S
  out = 0
  ! 重複なし
  do l = 0,K-2
  do j = l+1,K
  do i = j+1,K
     if (i+j+l == S ) out=out+1
  end do
  end do
  end do
  out = out*3*2
  out2=0
  do j = 0,K
  do i = j+1,K
     if (i+j+j == S ) out2 = out2+1
     if (i+i+j == S ) out2 = out2+1
  end do
  end do
  out = out + out2*3
  out2 = 0
  do i = 1,K
     if ( i*3 == S ) out2=out2+1
  end do
  out = out + out2
  write(*,'(i0)') out
  stop
end program main