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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main{

	public static void main(String[] args) throws IOException {

		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

		while (true) {
			final String[] num = br.readLine().split(" ");

			final int n = Integer.parseInt(num[0]);
			final int x = Integer.parseInt(num[1]);
			int sum = 0;

			// ????????????
			if (n == 0 && x == 0)
				break;
			int cnt = 0;

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

						if (i != j && j != k && k != i) {
							sum = i + j + k;
							cnt = check(sum, x, cnt);
						}
					}
				}
			}
			System.out.println(cnt);
		}

	}

	static int check(int sum, int x, int cnt) {
		if (sum == x) {
			cnt++;
		}

		return cnt;
	}

}