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;

//1 ?????? n ?????§?????°?????????????????????????????§???????????°?????????????????????????¨????
//x ??¨??????????????????????????°????±???????????????°?????????????????????????????????
public class Main{
	public static void main (String args[]){
		Scanner sc = new Scanner(System.in);

		while(true){
			int x = sc.nextInt();
			int n = sc.nextInt();
			int count = 0;

			if(x ==0 && n ==0){
				break;
			}else{

				for(int i = 0; i < n-2; i++){
					for(int j = i + 1; j < n-1; j++){
						for(int k = j + 1; k < n; k++){

							if(x == (i + j + k)){
								count++;
							}
						}
					}
				}
			}
			System.out.println(count);
		}
		sc.close();
	}
}