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.*;

class Main{
  public static void main(String args[]){
    Scanner scan = new Scanner(System.in);
    int n=scan.nextInt();
    int x=scan.nextInt();
    int count=0;

    for(int i=1;i<n-1;i++){
      for(int j=i+1;j<n;j++){
        for(int k=j+1;k<n+1;k++){
          if(i+j+k==x){ count++;
            System.out.println(i+" "+j+" "+k+" "+(i+j+k));}
        }
      }
    }
    System.out.println(count);
  }
}