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: Accepted)

import java.util.ArrayList;
import java.util.Arrays;
import java.util.Scanner;

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

        while (true) {
            int n = scanner.nextInt(), x = scanner.nextInt();

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

            int cnt = 0;
            for (int i = 1; i <= n; ++i) {
                for (int j = i + 1; j <= n; ++j) {
                    for (int k = j + 1; k <= n; ++k) {
                        if (i + j + k == x) ++cnt;
                    }
                }
            }
            System.out.println(cnt);
        }
    }
}