Problem:
How many ways?

Write a program which identifies the number of combinations of three integers which satisfy the following conditions:

You should select three distinct integers from 1 to n.

A total sum of the three integers is x.

For example, there are two combinations for n = 5 and x = 9.

1 + 3 + 5 = 9

2 + 3 + 4 = 9

Input

The input consists of multiple datasets. For each dataset, two integers n and x are given in a line.

The input ends with two zeros for n and x respectively. Your program should not process for these terminal symbols.

Constraints

3 ≤ n ≤ 100

0 ≤ x ≤ 300

Output

For each dataset, print the number of combinations in a line.

Sample Input

5 9
0 0

Sample Output

2

Note

      解説

Solution in JAVA (judge verdict: Wrong Answer)

import java.util.Scanner;
public class Main{
  public static void main(String[] args){
  Scanner in=new Scanner(System.in);

  int n,sum;

  while(true){
  int count = 0;
  n = in.nextInt();
  sum = in.nextInt();

  if(n==0 && count==0)break;

    for(int i=1;i<n;i++){
      for(int j=1;j<n;j++){
      int r =sum - i - j;
        if(r>j && r<=n){
        count++;
        }
      }
    }
    System.out.println(count);
  }
  }
}